The South Korean’s current deal expires in 2014 and the striker is not certain about his future, but emphasised that he is enjoying life at the Imtech Arena.
"I am as yet unaware whether I am to sign a new deal with Hamburg this winter," Son told the Hamburg Morgenpost.
"Still, there is no doubt that I am very happy with my current situation at Hamburg. I like the club and I love the fans as much as they love me."
Son has scored five goals in nine Bundesliga appearances this season, with his side sitting seventh with 13 points from nine games.